

A292648


Rank of Pi*n when all the numbers Pi*j and (Pi+1)*k, for j>=1, k>=1, are jointly ranked.


2



1, 3, 5, 7, 8, 10, 12, 14, 15, 17, 19, 21, 22, 24, 26, 28, 29, 31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 49, 50, 52, 54, 56, 58, 59, 61, 63, 65, 66, 68, 70, 72, 73, 75, 77, 79, 80, 82, 84, 86, 87, 89, 91, 93, 94, 96, 98, 100, 101, 103, 105, 107, 109, 110, 112
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OFFSET

1,2


LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = k*n + O(1), where k = 2  1/(Pi + 1) = 1.7585....  Charles R Greathouse IV, Mar 13 2018


MATHEMATICA

z = 120; r = Pi; s = Pi+1;
Table[n + Floor[n*r/s], {n, 1, z}] (* A292648 *)
Table[n + Floor[n*s/r], {n, 1, z}] (* A292649 *)


PROG

(PARI) a(n)=n*Pi\(Pi+1) + n \\ Charles R Greathouse IV, Mar 13 2018


CROSSREFS

Cf. A292649 (complement).
Sequence in context: A184626 A047392 A330117 * A187330 A059546 A284366
Adjacent sequences: A292645 A292646 A292647 * A292649 A292650 A292651


KEYWORD

nonn,easy


AUTHOR

Clark Kimberling, Sep 26 2017


STATUS

approved



